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Similarity Problems and Completely Bounded Maps Book

Similarity Problems and Completely Bounded Maps
Similarity Problems and Completely Bounded Maps, , Similarity Problems and Completely Bounded Maps has a rating of 4 stars
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Similarity Problems and Completely Bounded Maps, , Similarity Problems and Completely Bounded Maps
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  • Similarity Problems and Completely Bounded Maps
  • Written by author Gilles Pisier
  • Published by Springer-Verlag New York, LLC, June 2008
  • These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C*
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Introduction. Description of contents1
1Von Neumann's inequality and Ando's generalization14
2Non-unitarizable uniformly bounded group representations31
3Completely bounded maps58
4Completely bounded homomorphisms and derivations75
5Schur multipliers and Grothendieck's inequality99
6Hankelian Schur multipliers. Herz-Schur multipliers114
7The similarity problem for cyclic homomorphisms on a C-algebra124
8Completely bounded maps in the Banach space setting142
9The Sz.-Nagy-Halmos similarity problem152
10The Kadison Similarity Problem168
References182
Subject Index194
Notation Index197


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